Cyclic homology of the Taft algebras and of their Auslander algebras

الأصل · EN

In this paper, we compute the cyclic homology of the Taft algebras and of their Auslander algebras. Given a Hopf algebra Λ, the Grothendieck groups of projective Λ-modules and of all Λ-modules are endowed with a ring structure, which in the case of the Taft algebras is commutative (C2, G). We also describe the first Chern character for these algebras.